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We generalize ERA method of PSF correction for more realistic situations. Themethod re-smears the observed galaxy image(galaxy image smeared by PSF) and PSFimage by an appropriate function called Re-Smearing Function(RSF) to make newimages which have the same ellipticity with the lensed (before smeared by PSF)galaxy image. It has been shown that the method avoids a systematic errorarising from an approximation in the usual PSF correction in moment method suchas KSB for simple PSF shape. By adopting an idealized PSF we generalize ERAmethod applicable for arbitrary PSF. This is confirmed with simulated complexPSF shapes. We also consider the effect of pixel noise and found that theeffect causes systematic overestimation.

The ERA Method with Idealizing PSF for Precise Weak Gravitational Lensing Shear Analysis